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Finding the Fourth Proportional to 3,567.72, 5,346.68 and 2,008.46

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Solution

The fourth proportional to 3,567.72, 5,346.68 and 2,008.46 is: 3,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.72 : 5,346.68 = 2,008.46 : x
  2. Step 2: Convert to fraction form
    3,567.72/5,346.68 = 2,008.46/x
  3. Step 3: Cross multiply
    3,567.72x = 5,346.68 × 2,008.46
  4. Step 4: Simplify right side
    3,567.72x = 10,738,592.91
  5. Step 5: Solve for x
    x = 10,738,592.91/3,567.72
  6. Step 6: Final answer
    x = 3,009.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.